27 into 14 best min fragment found: 5
  Cut up 27 sticks of length 14 like this:
    3 x (7 + 7)
    6 x (6 + 8)
    18 x (5 + 9)
  Reassemble as 14 sticks of length 27 like this:
    2 x (9 + 9 + 9)
    6 x (5 + 6 + 7 + 9)
    6 x (5 + 5 + 8 + 9)